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Finding the Fourth Proportional to 165,884.70, 248,827.04 and 55,076.70

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Solution

The fourth proportional to 165,884.70, 248,827.04 and 55,076.70 is: 82,615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,884.70 : 248,827.04 = 55,076.70 : x
  2. Step 2: Convert to fraction form
    165,884.70/248,827.04 = 55,076.70/x
  3. Step 3: Cross multiply
    165,884.70x = 248,827.04 × 55,076.70
  4. Step 4: Simplify right side
    165,884.70x = 13,704,572,233.97
  5. Step 5: Solve for x
    x = 13,704,572,233.97/165,884.70
  6. Step 6: Final answer
    x = 82,615.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.